Question
Solve for \( w \). \[ 5 w=9+2 w \] Simplify your answer as much as possible. \begin{tabular}{|c|}\hline\( w=\square \) \\ \hline\( \frac{\square}{\square} \) \\ \hline\end{tabular}
Ask by John Peters. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
w = 3
\]
\[
w = \frac{9}{3}
\]
Solution
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Bonus Knowledge
To solve for \( w \) in the equation \( 5w = 9 + 2w \), we will first isolate \( w \) on one side. Start by subtracting \( 2w \) from both sides: \[ 5w - 2w = 9 \] This simplifies to: \[ 3w = 9 \] Next, divide both sides by 3: \[ w = \frac{9}{3} \] This simplifies to: \[ w = 3 \] Now, filling in the table: \begin{tabular}{|c|}\hline \( w=3 \) \\ \hline \( \frac{9}{3} \) \\ \hline \end{tabular}